Write the expression in algebraic form. [Hint: Sketch a right triangle.] sin(arcsec(x))

Question

Write the expression in algebraic form. [Hint: Sketch a right triangle.]

sin(arcsec(x))

Answer 1

sin(arcsec(x))

=sqr(1-x^2)

hypotenuse=1

adjacent side=x

opposite side=sqr(1^2-x^2)=sqr(1-x^2)

secT=hypotenuse over adjacent side

arcsec(x)=T

sinT= opposite side over hypotenuse